Question

What represents the approximate volume of a cone with a radius of 3 units and a height of 4 units? Use 3.14 for π.

Answer 1

`V = (1)/(3) \pi r^2h \ \ \ \ \text{[r=radius, h=height ]} \\ \\ V = (1)/(3)* 3.14 *(3)^2*4 =37.68 \ units`

Answer 2

The volume is 37.68 units³.

Explanation:

Since, the volume of a cone is,

`V=(1)/(3) \pi r^2 h`

Where, r is the radius,

h is the height,

Here, r = 3 units,

h = 4 units,

Thus, the volume of the cone,

`V=(1)/(3)\pi (3)^2 (4)`

`=(1)/(3)(3.14)(9)(4)`

`=(113.04)/(3)`

`=37.68\text{ cube units}`